Recurrent nonlinear modulational instability via down-conversion in quadratic media
Year: 2025
Authors: Armaroli A., Ferraresi S., Bellanca G., Malaguti S., Baronio F., Trillo S.
Autors Affiliation: Univ Ferrara, Dept Engn, Via Saragat 1, I-44122 Ferrara, Italy; Univ Brescia, Dept Informat Engn, Via Branze 38, I-25123 Brescia, Italy; INO CNR, Via Branze 38, I-25123 Brescia, Italy.
Abstract: We investigate the induced modulation instability in second-harmonic generation beyond the early stage the linearized growth of the modulation. We find a regime of recurrence (quasiperiodic conversion and back conversion between the pump and the modulation) which is genuine of the parametric conversion process quadratic media. Such recurrence is mainly driven by a process of nondegenerate downconversion, showing no analogy to the cascading regime which mimics the cubic (Kerr) nonlinearities. We consider two different steady states, i.e., a pure second-harmonic and a mixed fundamental and second-harmonic state. Both exhibit this dynamics, which we show to be amenable to a description in terms of reduced frequency-truncated models. The comparison with full numerical simulations of the starting model proves the validity and robustness of reduced models in characterizing, in a simple and elegant way, a wide range of modulationally unstable steady states.
Journal/Review: PHYSICAL REVIEW A
Volume: 112 (5) Pages from: 53525-1 to: 53525-12
More Information: This work was supported by European Union-Next Generation EU under funding call Progetti di Ricerca di Interesse Nazionale (PRIN) , Mission 4, Component C2, Investment 1.1 (Project No. 20222NCTCY, CUP F53D23000440006) and under the Italian National Recovery and Resilience Plan (NRRP) , Mission 4, Component 2, Investment 1.3, CUP B53C22003970001, partnership on Telecommunications of the Future (PE00000001-program RESTART) -Project ODEONS. The authors declare no conflicts of interest.KeyWords: Solitons; Waves; Light; GenerationDOI: 10.1103/bcjw-htfr
